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arXiv · 1504.05545

Lattice QCD Green's functions in maximally Abelian gauge: infrared Abelian dominance and the quark sector

Mario Schröck·Hannes Vogt
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Abstract

On lattice gauge field configurations with 2+1 dynamical quark flavors, we investigate the momentum space quark and gluon propagators in the combined maximally Abelian plus $U(1)_3\times U(1)_8$ Landau gauge. We extract the gluon fields from the lattice link variables and study the diagonal and off-diagonal gluon propagators. We find that the infrared region of the transverse diagonal gluon propagator is strongly enhanced compared to the off-diagonal propagator. The Dirac operator from the Asqtad action is inverted on the diagonal and off-diagonal gluon backgrounds separately. In agreement with the hypothesis of infrared Abelian dominance, we find that the off-diagonal gluon background hardly gives rise to any non-trivial quark dynamics while the quark propagator from the diagonal gluon background closely resembles its Landau gauge counterpart.

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Mario Schröck, Hannes Vogt. 2015-11-03. Lattice QCD Green's functions in maximally Abelian gauge: infrared Abelian dominance and the quark sector. https://doi.org/10.1103/physrevd.93.014501

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